10012120029 has 24 divisors (see below), whose sum is σ = 15316879032. Its totient is φ = 6280381440.

The previous prime is 10012120021. The next prime is 10012120037. The reversal of 10012120029 is 92002121001.

10012120029 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10012120021) and next prime (10012120037).

It can be written as a sum of positive squares in 4 ways, for example, as 5550548004 + 4461572025 = 74502^2 + 66795^2 .

It is not a de Polignac number, because 10012120029 - 2³ = 10012120021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10012119993 and 10012120020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012120021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 761697 + ... + 774729.

It is an arithmetic number, because the mean of its divisors is an integer number (638203293).

Almost surely, 2^10012120029 is an apocalyptic number.

It is an amenable number.

10012120029 is a deficient number, since it is larger than the sum of its proper divisors (5304759003).

10012120029 is a wasteful number, since it uses less digits than its factorization.

10012120029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18077 (or 18074 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 10012120029 in words is "ten billion, twelve million, one hundred twenty thousand, twenty-nine".